Finding the Third Proportional to 264 and 311
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Solution
The third proportional to 264 and 311 is: 366.37
Step by Step Solution
- Step 1: Write the proportion equation
264 : 311 = 311 : x - Step 2: Convert to fraction form
264/311 = 311/x - Step 3: Cross multiply
264x = 311 × 311 - Step 4: Simplify right side
264x = 96,721 - Step 5: Solve for x
x = 96,721/264 - Step 6: Final answer
x = 366.37
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.